How do you combine $\frac{2}{3} a + \frac{5}{9} - 21 - \frac{4}{5} a - \frac{7}{9} b$ $\frac { 2} { 3} a + \frac { 5} { 9} - 21- \frac { 4} { 5} a - \frac { 7} { 9} b$ ?

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How do you combine $\frac{2}{3} a + \frac{5}{9} - 21 - \frac{4}{5} a - \frac{7}{9} b$ $\frac { 2} { 3} a + \frac { 5} { 9} - 21- \frac { 4} { 5} a - \frac { 7} { 9} b$ ?

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Answer 1 · 2017-09-02T21:06:07

$- \frac{2}{15} a - \frac{7}{9} b - \frac{184}{9}$ $-2/15a-7/9b-184/9$

Explanation:

Combine like terms first - $a$ $a$ s with $a$ $a$ s and $b$ $b$ s with other $b$ $b$ s

$\frac{2}{3} a - \frac{4}{5} a - \frac{7}{9} b + \frac{5}{9} - 21$ $2/3a-4/5a -7/9b +5/9 -21$
$\frac{2}{3} - \frac{4}{5} = \frac{10}{15} - \frac{12}{15} = - \frac{2}{15} a$ $2/3-4/5=10/15-12/15 = -2/15a$
$- \frac{7}{9} b$ $-7/9b$ is already simplified
$\frac{5}{9} - \frac{21}{1} = \frac{5}{9} - \frac{189}{9} = - \frac{184}{9}$ $5/9-21/1 = 5/9-189/9=-184/9$

so simplified terms is

$- \frac{2}{15} a - \frac{7}{9} b - \frac{184}{9}$ $-2/15a-7/9b-184/9$

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How do you combine $\frac{2}{3} a + \frac{5}{9} - 21 - \frac{4}{5} a - \frac{7}{9} b$ $\frac { 2} { 3} a + \frac { 5} { 9} - 21- \frac { 4} { 5} a - \frac { 7} { 9} b$ ?

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How do you combine $\frac{2}{3} a + \frac{5}{9} - 21 - \frac{4}{5} a - \frac{7}{9} b$ $\frac { 2} { 3} a + \frac { 5} { 9} - 21- \frac { 4} { 5} a - \frac { 7} { 9} b$ ?